Pol Grasland-Mongrain edited Absorption_of_the_laser_beam__.tex  about 8 years ago

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\end{equation}  where (r,$\theta$) are the coordinates of the considered point with regards to the force location and direction, $c_p$ and $c_s$ are the compression and shear wave speed respectively, $\tau$ is the time, and $\delta$ is a Dirac distribution. The three terms of the equation correspond respectively to the far-field compression wave, the far-field shear wave, and the near-field component.  Using constants \rho$ $\rho$  = 1000 kg.m$^{-3}$, $c_p$ = 1500 m.s$^{-1}$ and $c_s$ = 5.5 m.s$^{-1}$, displacement maps along the Z axis were calculated 1.0, 1.5, 2.0, 2.5, and 3.0 ms after force application, as illustrated in Figure \ref{figGreen}-(A). The normalized displacement maps present many similarities to the experimental results displayed in Figure \ref{figElastoPVA}-(A), with an initial central displacement directed towards the outside of the medium, and a propagation of three half cycles.